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Finding the Fourth Proportional to 8,475.10, 12,712.80 and 3,212.58

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Solution

The fourth proportional to 8,475.10, 12,712.80 and 3,212.58 is: 4,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.10 : 12,712.80 = 3,212.58 : x
  2. Step 2: Convert to fraction form
    8,475.10/12,712.80 = 3,212.58/x
  3. Step 3: Cross multiply
    8,475.10x = 12,712.80 × 3,212.58
  4. Step 4: Simplify right side
    8,475.10x = 40,840,887.02
  5. Step 5: Solve for x
    x = 40,840,887.02/8,475.10
  6. Step 6: Final answer
    x = 4,818.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.